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Title: A generic theoretical approach for estimating bandgap bounds of metamaterial beams
Authors: Jian, Yupei
Hu, Guobiao
Tang, Lihua
Xu. Jiawen
Aw, Kean C.
Keywords: Engineering::Civil engineering
Issue Date: 2021
Source: Jian, Y., Hu, G., Tang, L., Xu. Jiawen & Aw, K. C. (2021). A generic theoretical approach for estimating bandgap bounds of metamaterial beams. Journal of Applied Physics, 130(5), 054501-.
Journal: Journal of Applied Physics
Abstract: The bandgap phenomenon in metamaterials has attracted much research interest for controlling structural vibrations. To tailor the bandgap for applications in a specific frequency range, analytical tools for bandgap bound estimations are critically important. This work presents a generic theoretical approach for fast estimation of the bandgap bounds. Starting from the lattice metamaterial systems, we develop the procedure and provide the analytical bound expressions based on a hypothesis of extreme points in the band structure of metamaterial systems. The proposed approach for the lattice system is verified by the results of transmittance analysis. Subsequently, to explore the fidelity of the proposed approach on continuous metamaterial systems, three typical metamaterial beams (metabeams) have been investigated: a metabeam with mechanical local resonators, a piezoelectric metabeam with shunt resonant circuits, and a hybrid metabeam. Finite element analysis is performed to verify the theoretical expressions of bandgap bounds derived using the proposed approach. With the verified bound expressions, bandgap tailoring and optimization are further investigated. In summary, the developed theoretical approach is generic and offers a promising technique for bandgap estimation of metamaterial systems integrated with various types of resonators.
ISSN: 0021-8979
DOI: 10.1063/5.0053004
Rights: © 2021 Author(s). All rights reserved. This paper was published by AIP Publishing in Journal of Applied Physics and is made available with permission of Author(s).
Fulltext Permission: embargo_20220812
Fulltext Availability: With Fulltext
Appears in Collections:CEE Journal Articles

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